<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The purpose of this work is to study the feasibility and efficiency of Generating Absorbing Boundary Conditions (GABCs), applied to wave-current interactions using the Method of Fundamental Solutions (MFS) as radial basis function, the problem is solved by collocation method. The objective is modeling wave-current interactions phenomena applied in a Numerical Wave Tank (NWT) where the flow is described within the potential theory, using a condition without resorting to the sponge layers on the boundaries. To check the feasibility and efficiency of GABCs presented in this paper, we verify accurately the numerical solutions by comparing the numerical solutions with the analytical ones. Further, we check the accuracy of numerical solutions by trying a different number of nodes. Thereafter, we evaluate the influence of different aspects of current (coplanar current, without current, and opposing current) on the wave properties. As an application, we take into account the generating-absorbing boundary conditions GABCs in a computational domain with a wavy downstream wall to confirm the efficiency of the adopted numerical boundary condition.</p>
</abstract>

The purpose of this work is to study the feasibility and efficiency of Generating Absorbing Boundary Conditions (GABCs), applied to wave-current interactions using the Method of Fundamental Solutions (MFS) as radial basis function, the problem is solved by collocation method. The objective is modeling wave-current interactions phenomena applied in a Numerical Wave Tank (NWT) where the flow is described within the potential theory, using a condition without resorting to the sponge layers on the boundaries. To check the feasibility and efficiency of GABCs presented in this paper, we verify accurately the numerical solutions by comparing the numerical solutions with the analytical ones. Further, we check the accuracy of numerical solutions by trying a different number of nodes. Thereafter, we evaluate the influence of different aspects of current (coplanar current, without current, and opposing current) on the wave properties. As an application, we take into account the generating-absorbing boundary conditions GABCs in a computational domain with a wavy downstream wall to confirm the efficiency of the adopted numerical boundary condition.

A Generating - Absorbing Boundary Condition Applied to Wave - Current Interactions Using the Method of Fundamental Solutions

State Key Laboratory of Coastal and Offshore Engineering

Civil and Environmental Engineering

This work is licensed under the Creative Commons Attribution 4.0 International License.

The purpose of this work is to study the feasibility and efficiency of Generating Absorbing Boundary Conditions (GABCs), applied to wave-current interactions...

A Generating - Absorbing Boundary Condition Applied to Wave - Current Interactions Using the Method of Fundamental Solutions

Published Online: Dec 09, 2021

Page range: 343 - 352

DOI: https://doi.org/10.2478/cee-2021-0036

Keywords
Wave-current interactions, Method of fundamental solutions, Generating-absorbing boundary conditions

© 2021 Mohammed Loukili et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

A Generating - Absorbing Boundary Condition Applied to Wave - Current Interactions Using the Method of Fundamental Solutions

Published Online: Dec 09, 2021

Page range: 343 - 352

DOI: https://doi.org/10.2478/cee-2021-0036

KeywordsWave-current interactions, Method of fundamental solutions, Generating-absorbing boundary conditions

© 2021 Mohammed Loukili et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Wave-current interactions, Method of fundamental solutions, Generating-absorbing boundary conditions